PseudoInverse

PseudoInverse[m] finds the pseudoinverse of a rectangular matrix.

PseudoInverse works on both symbolic and numerical matrices.

For numerical matrices, PseudoInverse is based on SingularValueDecomposition.

PseudoInverse[m, Tolerance -> t] specifies that singular values smaller than t times the maximum singular value should be dropped.

With the default setting Tolerance->Automatic, singular values are dropped when they are less than 100 times , where is Precision[m].

For non-singular square matrices , the pseudoinverse is equivalent to the standard inverse.

See Section 3.7.10.

See also: Inverse, SingularValueDecomposition, Fit, CholeskyDecomposition.

New in Version 1; modified in 5.0.

Further Examples